Extender™ is a cable managing system allows better arrangement of the cables inside your case. Instead of putting all kinds of connectors on PSU, PSU can now just provide the stand-alone Molex cable for Extender to extends to various connectors that you need, thus giving you more flexibility on arranging your cables and make your system tidy.
T-shape connector (a.k.a. T-connector) is a patented design by HIPER. It is a male-female connector that extends Molex (source) to a Molex as well as other connectors like SATA and floppy through the perpendicular wires.
Originally Extender was the feature of Type R series, later Extender has become one of the significant features of all HIPER mid and top class models.
The following illustration shows how Extender in HPU-4M580 should be connected:
Extender is also available in retail package: HLC-2M1P-15, HLC-2M4S-15, HLC-3M3C-15, HLC-4M2E-15